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Erschienen in:
1998 | OriginalPaper | Buchkapitel
The Jacobi Group
verfasst von : Rolf Berndt, Ralf Schmidt
Erschienen in: Elements of the Representation Theory of the Jacobi Group
Verlag: Springer Basel
Enthalten in: Professional Book Archive
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The Jacobi group is a semidirect product of a (semisimple) symplectic group with a (nilpotent) Heisenberg group. It comes along in several presentations which may be more or less appropriate for the different parts of the theory. So we will discuss here several realizations and change from one to the other from time to time. To keep track it is helpful to think of the Jacobi group as a certain subgroup of a bigger symplectic group.